A lazy Susan comprises of a heavy plastic disk mounted on the frictionless bearing resting on the vertical shaft through its center. The cylinder consists of a radius R = 20 cm and mass M = 0.34 kg. A cockroach of mass m = 0.015 kg is on the lazy Susan, at a distance of 10 cm from the center. Both the cockroach and lazy Susan are primarily at rest. The cockroach then walks all along a circular path concentric with the axis of lazy Susan at a constant distance of 10 cm from the axis of the shaft. When the speed of the cockroach with respect to the lazy Susan is around 0.01 m/s, determine the speed of the cockroach with respect to the room?